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Finding the Third Proportional to 513,681.75 and 818,089.88

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Solution

The third proportional to 513,681.75 and 818,089.88 is: 1,302,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,681.75 : 818,089.88 = 818,089.88 : x
  2. Step 2: Convert to fraction form
    513,681.75/818,089.88 = 818,089.88/x
  3. Step 3: Cross multiply
    513,681.75x = 818,089.88 × 818,089.88
  4. Step 4: Simplify right side
    513,681.75x = 669,271,043,577.52
  5. Step 5: Solve for x
    x = 669,271,043,577.52/513,681.75
  6. Step 6: Final answer
    x = 1,302,890.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.